2563392 has 84 divisors (see below), whose sum is σ = 7437120. Its totient is φ = 778752.

The previous prime is 2563387. The next prime is 2563409. The reversal of 2563392 is 2933652.

It is a d-powerful number, because it can be written as 2⁶ + 5⁸ + 6⁶ + 3³ + 3¹³ + 9⁶ + 2⁸ .

Its product of digits (9720) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32409 + ... + 32487.

2^2563392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718560).

2563392 is an abundant number, since it is smaller than the sum of its proper divisors (4873728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2563392 is a wasteful number, since it uses less digits than its factorization.

2563392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 2563392 is about 1601.0596491074. The cubic root of 2563392 is about 136.8584682188.

The spelling of 2563392 in words is "two million, five hundred sixty-three thousand, three hundred ninety-two".